I have everyone fill out electronic applications. There are 2: one "in-house", wherein I can verify employment info, salary info, etc, and one from Smartmove, wherein I get access to their credit/criminal/eviction history. There's no charge for the in-house one, and a $35 charge for the Smartmove one, which they pay directly to them. I collect no money until I say "OK, great, you're in", and they sign the lease.
I don't do paper applications in any manner. I suppose if someone really elderly or completely technologically-challenged really wanted in, I would have to consider the issue, but it doesn't seem to be a problem for me. I also keep a website that I put my available homes on. Everything is electronic. To me, there's little reason to go the paper route. The exception is the lease, since I want an actual ink signature on it. That has to be old-fashioned paper for me, but courts will accept electronic signatures.